Coefficient of kinetic friction, need today

AI Thread Summary
The discussion focuses on calculating the coefficient of kinetic friction and tension in a system involving two blocks on inclined planes. The user initially calculated the coefficient of kinetic friction using the formula (gsinΘ - a) / gcosΘ but received feedback indicating a significant error. It was suggested that the user needs to account for the tension in the string and set up separate equations of motion for both masses. By applying the correct equations for forces acting on each mass, the user can solve for the two unknowns: tension and the coefficient of kinetic friction. Accurate calculations are essential to meet the urgent deadline for the assignment.
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coefficient of kinetic friction, URGENT need today

The system shown in the figure below has an acceleration of magnitude 0.51 m/s2, where m1 =
4.30 kg and m2 = 6.00 kg. Assume that the coefficient of kinetic
friction between block and incline is the same for both inclines.

Link to figure:
http://img9.imageshack.us/img9/3437/figureyh.jpg
m1 is box on the left, m2 is box on the right. both angles are 35 degrees. a) find the coefficient of kinetic friction

Here's what I tried:
coefficient of kinetic friction = (gsinΘ - a) / gcos Θ
and got .63668

when i input my answer in the system said "your answer differs from the correct answer by orders of magnitude."

b) find the tension in the string
T= m1a + m1gsinΘ
= 26.36 N

system said "your answer differs by 10% of correct answer..."Please help. I need this by tonight. Thank you!
 
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Let's start with the basics. What equation of motion (i.e. \SigmaF = ma) did you use for each mass?
 


^

(a)
∑ Fx = ma --> mgsinΘ - fk = ma
∑ Fy = 0 --> n - mgcosΘ = 0
n = mgcosΘ
and fk = mukn

so muk = (gsinΘ -a) / gcos Θ
 


∑ Fx = ma --> mgsinΘ - fk = ma

I presume that's for m2. But, you forgot the force of the tension. Also, you need a similar equation for m1. You'll then have two equations in two unknowns (T and mu) that can be solved by substitution.
 
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